.70x+.05(16-x)=.10(112)

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Solution for .70x+.05(16-x)=.10(112) equation:


Simplifying
0.70x + 0.05(16 + -1x) = 0.10(112)
0.70x + (16 * 0.05 + -1x * 0.05) = 0.10(112)
0.70x + (0.8 + -0.05x) = 0.10(112)

Reorder the terms:
0.8 + 0.70x + -0.05x = 0.10(112)

Combine like terms: 0.70x + -0.05x = 0.65x
0.8 + 0.65x = 0.10(112)

Multiply 0.10 * 112
0.8 + 0.65x = 11.2

Solving
0.8 + 0.65x = 11.2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.65x = 11.2 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.65x = 11.2 + -0.8
0.65x = 11.2 + -0.8

Combine like terms: 11.2 + -0.8 = 10.4
0.65x = 10.4

Divide each side by '0.65'.
x = 16

Simplifying
x = 16

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